Instructions

An instructor administered a push-ups test to a group of 20 high-school boys on two occasions, separated by three days. The scores for both occasions are presented below. To be classified as a master, a boy must successfully execute 10 or more consecutive push-ups.

Set up a contingency table for this data set, after converting each score to a 0 or 1.

Place a tally for each examinee in the appropriate cell of the table. Sum the tallies in each cell, and calculate the proportion for each cell.

(b) Calculate P_o, the proportion of agreement.

P_o - P_c

(c) Calculate k, the kappa coefficient: k =

1 - P_c

(d) Interpret P and k.

Data Set (Push-Ups)

Examinee Occasion 1 Occasion 2

1 15 15

2 12 13

3 5 6

4 15 13

5 6 10

6 11 12

7 17 15

8 13 15

9 9 8

10 1214

11 109

12 119

13 3 5

14 1415

15 6 8

16 1110

17 7 7

18 1714

19 3 4

20 8 9